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September 10, 2025Chaos An Interdisciplinary Journal of Nonlinear Science

Collective fluctuations in the finite-size Kuramoto model below the critical coupling: Shot-noise approach

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Authors

SKS. Yu. KirillovVKVladimir Klinshov

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Overview

Investigation reveals transient synchronization below critical coupling in the Kuramoto model, suggesting insights for neural networks and power grids.

Key Points

  • Collective fluctuations sustain transient synchronization below critical coupling.
  • Power spectrum analysis shows dependence on coupling strength, confirming theoretical predictions.
  • Shot-noise approach derived analytically improves understanding of finite-size effects.
  • Numerical simulations validate findings despite deviations near critical coupling due to nonlinearity.

Cite This Study

Kirillov et al. (2025) studied this question.

synapsesocial.com/papers/68c1956b9b7b07f3a0619bcbhttps://doi.org/10.1063/5.0287893
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